... Processing
Volume 2007, Article ID 95328, 12 pages
doi:10.1155/2007/95328
Research Article
On the Empirical Estimation of Utility Distribution Damping
Parameters Using Power Quality Waveform Data
Kyeon Hur,
1
Surya ... and the method is not
computationally intensive.
4. METHOD VALIDATION USING IEEE TEST MODEL
This section demonstrates the application of...
... spacing on AP 0.5 λ ULA
type of antennas on AP sectorized (120
◦
)
nr. of antennas on user 1
type of antennas on user omnidirectional disc cone
position of AP entrance hall
position of users ... −1
)
e
−x
x
N−1
Γ
(
N
)
P
(
N,x
)
K−2
−P
(
N,x
)
K−1
,
(A.7)
where P(N, x) is the regularized gamma function [25].
The proof of Lemma 7 is direct. The distribution of...
... mass functions
corresponding to each modality, a confusion matrix of one
versus the other can be formed. The confusion-matrix of
probability mass functions (PMFs), for this “N”hypothesis
problem ... Diarization
Using the BHT-Soft Belief Function. To facilitate for the
synchronization of multi-modal data, that is, the video
frame rate of 25 fps, and the speech sampling ra...
... paper, the symbols Z, Z
p
, Q
p
,andC
p
denote
the ring of rational integers, the ring of p-adic integers, the field of p-adic rational numbers,
and the completion of algebraic closure of Q
p
, ... 1
m
e
w
1
w
2
xt
∞
k0
E
m
k,χ,ξ
w
1
w
2
x
w
k
1
t
k
k!
.
2.10
Journal of Inequalities and Applications 7
Comparing the coefficients on both sides of 2.17 a...
... Flett, On an extension of absolute summability and some theorems of Littlewood and Paley,”
Proceedings of the London Mathematical Society, vol. 7, pp. 113–141, 1957.
2 G. Das, “A Tauberian theorem ... Journal of the London Mathematical
Society, vol. 57, no. 1, pp. 170–182, 1998.
E. Savas¸etal. 3
Theorem 1. C, α, β ∈ BA
2
k
for each α, β > −1.
Proof. Let τ
αβ
mn
denote...
... diversity. On the other
hand, in the OFDMA system, transmit power is equally
allocated in the used subcarriers; therefore, the achievable
rate is insensitive to the distribution of the deep fades ... N
u
is the length of the transmitted signal block of the
uth user whose post-detection SNR is denoted as γ
u
, P
n,u
is
the power of the nth transmitted symb...
... not depend on n. On the other hand, clearly,
E(
d) = E
d
i
=
h
1
√
A, (59)
where the number h
1
depends only on the shape of the region
containing the network but not on the number of nodes ... (55)
Using the identity n
=
√
ρAn in the above equation and re-
calling the definition of F, we arrive at the statement of the
theorem.
3. UPPER BOUND ON TH...
... (see the analogous lemma in [4]).
Lemma 3.2. The number μ
ε
is the first eigenvalue λ
1
ε
of the problem (3.1).
For the convenience of the reader we present the details of the proof.
Proof. It ... Hence, the proof is complete.
Proof of Theorem 2.3. The proof is completely analogous to that of Theorem 2.2: using
inequalities (3.19), (3.42), and (3.43), we obtai...
... [0,+∞), then the Sturm separation theorem (between two zeros of each nontrivial
solution there is one and only one zero of other solution) is fulfilled for the second-order
delay equation. Properties ... ε)
r
2
−r
1
.
(3.21)
On the other hand, in v iew of the arbitrariness of ε, the last inequality implies (3.8). This
proves the lemma.
4. The necessary conditions of...
... question whether the result of Theorem D about
the case α γ holds for ρ
∗
-mixing sequence.
2 Journal of Inequalities and Applications
The notion of ρ
∗
-mixing seems to be similar to the notion ... numbers,” Proceedings of the
National Academy of Sciences of the United States of America, vol. 33, pp. 25–31, 1947.
13 P. Erd
¨
os, On a theorem of Hsu and Robbin...